Bibliography
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Transformation law for the Szegö projectors on CR manifolds, Osaka J. Math.
27 (1990) 301--308 [pdf]
-
Scalar pseudo-hermitian invariants and the Szegö kernel on three-dimensional
CR manifolds, Complex Geometry, Lect. Notes in Pure and Appl. Math.
143, 67--76, Dekker, New York, 1993.
[tex, pdf]
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with Gen Komatsu and Noriyuki Nakazawa: Two methods of determining local invariants
in the Szegö kernel,
Complex Geometry, Lect. Notes in Pure and Appl. Math.
143, 77--96, Dekker, New York, 1993.
[tex, pdf]
-
The second variation of the Bergman kernel of ellipsoids, Osaka J. Math.
30 (1993), 457--473 [pdf]
-
Invariants of CR structures and the logarithmic singularity of the Bergman
kernel, Geometric complex analysis (Hayama 1995), 239--247,
World Sci. Publishing, River Edge, NJ, 1996.
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with Gen Komatsu: Invariant theory of the Bergman kernel, CR-Geometry
and Overdetermined Systems, Advanced Studies in Pure Mathematics 25,
167--220, Math. Soc. Japan, Tokyo, 1997
[tex, pdf]
-
with Gen Komatsu and Noriyuki Nakazawa: CR invariants of weight five in the Bergman
kernel,
Adv. Math. 143 (1999), 185--250
[pdf]
-
with Gen Komatsu:
Local sobolev Bergman kernel of strictly pseudoconvex domains,
Analysis and Geometry in Several Complex Variables (Katata, 1997),
Trends Math., 63--96, Birkhäuser Boston, Boston, MA, 1999
[pdf]
-
Construction of boundary invariants and the logarithmic singularity of
the Bergman kernel, Ann. of Math. 151 (2000), 151--190
[arXiv:math/0010014]
-
CR invariants of weight 6. Several complex variables, J. Korean Math. Soc. 37 (2000), 177--191.
[pdf]
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Invariant theory of the Bergman kernel
of strictly pseudoconvex domains, Sugaku Expositions 17 (2004), no. 2, 151--169.
[pdf]
(translation of Sugaku 54 (2000), 360--375 [pdf])
- A link between the asymptotic expansions of the Bergman kernel and the Szegö kernel.
Complex analysis in several variables---Memorial Conference of Kiyoshi Oka's Centennial Birthday,
115--121, Adv. Stud. Pure Math., 42, Math. Soc. Japan, Tokyo, 2004.
[pdf]
- with Charles Fefferman: Ambient metric construction of Q-curvature in conformal and CR geometries, Math. Res. Lett. 10 (2003), 819--832
[arXiv:math/0303184]
- with Rod Gover: Conformally invariant powers of the Laplacian -- A complete non-existence theorem, Jour. Amer. Math. Soc. 17 (2004), 389--405
[arXiv:math/0304082]
- Logarithmic singularity of the Szegö kernel and a global invariant of strictly pseudoconvex domains,
Ann. of Math. 163 (2006), 499--515
[arXiv:math/0309176]
-
with C. Robin Graham:
The ambient obstruction tensor and Q-curvature.
AdS/CFT correspondence: Einstein metrics and their conformal boundaries,
59--71, IRMA Lect. Math. Theor. Phys., 8, Eur. Math. Soc., Zürich, 2005.
[arXiv:math/0405068]
-
with C. Robin Graham:
Inhomogeneous Ambient Metrics, The IMA volumes in mathematics and its applications 144, 403--420, Springer 2007
[arXiv:math/0611931]
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Ambient metric construction of CR invariant differential operators,
The IMA volumes in mathematics and its applications 144, 61--76, Springer 2007
[arXiv:math/0701804]
- Q-prime curvature on CR manifolds, Diff. Geom. Appl. 33 Suppl. (2014), 213--245
[arXiv:1302.0489]
- Q and Q-prime curvature in CR geometry, Proceedings of the ICM, Seoul 2014, vol. III, 257--277
[arXiv:1405.2164]
-
with Spyros Alexakis:
Integral Kähler Invariants and the Bergman kernel asymptotics for line
bundles, Adv. Math. 308 (2017), 348--403
[arXiv:1501.02463]
-
with Christian Lübbe, Yoshihiko Matsumoto:
Q-curvature of Weyl structures and Poincaré metrics, preprint 2015
[arXiv:1502.06537]
-
with Taiji Marugame, Yoshihiko Matsumoto:
Variation of total Q-prime curvature on CR manifolds, Adv. Math. 306 (2017), 1333--1376
[arXiv:1510.03221]
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Normal form for pseudo-Einstein contact forms and intrinsic CR normal coordinates, Complex Analysis and its Synergies (2022) 8:13,
[arXiv:2112.08079]
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